The generator matrix
1 1 1 1 1 1
0 X 0 X+6 2X 0
0 0 X 2X+3 0 3
0 0 0 3 3 6
generates a code of length 6 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+24x^6+18x^7+54x^8+130x^9+324x^10+216x^11+4770x^12+594x^13+216x^14+174x^15+36x^16+4x^18
The gray image is a code over GF(3) with n=54, k=8 and d=18.
This code was found by Heurico 1.16 in 0.00383 seconds.